Answer: 35= odd
Step-by-step explanation:
very simple...
Even numbers end with 2, 4, 6, 8, or 0 and odd numbers end with 1, 3, 5, 7, or 9.
35 ends with a 5. So it is odd...
Hope this helped!
The constant for variation is k = 3/2 and the equation for the inverse is y = 2/3x
In order to find this, we need to start with the base equation for direct variation. We can then plug in the values and solve for k.
y = kx
4.5 = k(3)
1.5 = k
Now we can model the equation as y = 3/2x. We can then find the inverse by switching the x and y and solving for the new y.
y = 3/2x ----> Switch
x = 3/2y -----> Multiply by 2/3
2/3x = y
The correct answer is:
[D]: "
(-5 )x − " .
_________________________________________________________
Explanation:_________________________________________________________ " -1/2(-3/2x + 6x + 1) −<span> 3x " ;
= (-1/2 * -3/2 x) + (-1/2 * 6x) + (-1/2 * 1) </span>− <span>3x ;
= [ (-1 *-3) /(2*2)] x + (-3x) + (-1/2) ] </span>− <span>3x ;
= [ (3/4)x </span>− 3x − (1/2) ] −<span> 3x ;
= </span>(3/4)x − 3x − (1/2) − 3x ;
= ?? ; → Combine the "like terms" ;
→ "(3/4)x − 3x − 3x " = ?? ;
→ "(3/4)x − 3x = "(-9/4)x";
→ "(-9/4)x − 3x = "(-21/4)x " = " (-5
)x " ;
→ The answer is: "
(-5 )x − " ;
___________________________________________________
→ which is:
___________________________________________________ → Answer choice: [D]: "
(-5 )x − " .
___________________________________________________
The model (x+a)(x-a) will represents the factors of 4x²-9 as (2x+3)(2x-3).
<h3>What are the quadratic equations in one variable completing the squares method?</h3>
The "completing the squares" method aims to construct a quadratic equation of the form where the x variable is entirely covered by a single squared term, which is the square of a linear expression in x, as the name suggests.
The quadratic equation can resemble this:
x²-a² = (x+a)(x-a)
Given equation;
⇒4x²-9
⇒(2x)²-3²
The equation can be modeled as;
(2x+3)(2x-3)
Hence the model (x+a)(x-b) will represents the factors of 4x²-9 as (2x+3)(2x-3).
To learn more about completing the squares method refer to:
brainly.com/question/16800259
#SPJ1